DLMF:22.13.E23 (Q7074)

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DLMF:22.13.E23
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    d 2 d z 2 ds ( z , k ) = ( k 2 - k 2 ) ds ( z , k ) + 2 ds 3 ( z , k ) , derivative 𝑧 2 Jacobi-elliptic-ds 𝑧 𝑘 superscript 𝑘 2 superscript superscript 𝑘 2 Jacobi-elliptic-ds 𝑧 𝑘 2 Jacobi-elliptic-ds 3 𝑧 𝑘 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}}{{\mathrm{d}z}^{2}}% \operatorname{ds}\left(z,k\right)=(k^{2}-{k^{\prime}}^{2})\operatorname{ds}% \left(z,k\right)+2{\operatorname{ds}^{3}}\left(z,k\right),}}
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